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Explicit solutions for non homogeneous Sturm-Liouville operators problems.

Lucas Jódar Sánchez (1989)

Publicacions Matemàtiques

In this paper we study existence and sufficiency conditions for the solutions of Sturm-Liouville operator problems related to the operator differential equation X'' - QX = F(t). Explicit solutions of the problem in terms of a square root of the operator Q are given.

Explicit solutions for Sturm-Liouville operator problems (II).

Lucas Jódar Sánchez (1987)

Stochastica

It is proved that the resolution problem of a Sturm-Liouville operator problem for a second-order differential operator equation with constant coefficients is solved in terms of solutions of the corresponding algebraic operator equation. Existence and uniqueness conditions for the existence of nontrivial solutions of the problem and explicit expressions of them are given.

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